What does the "W(...) respresent when shown on the solution?

[kenbaratko]

I solved
8x(x+7y)y’ = 8y(x-7y)
and I got an answer with a “W(…)” in it
what does that represent ?
and can I simplify the answer without the “W”…?

thks

W.docx (32.3 KB)

[sghuisman (Sander Huisman)]

probably the Lambert W function also known as ProductLog.